Information on Result #1146224
Linear OOA(2260, 44, F2, 6, 227) (dual of [(44, 6), 4, 228]-NRT-code), using juxtaposition based on
- linear OOA(220, 4, F2, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(220, 5, F2, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,10P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(220, 5, F2, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
- linear OOA(2236, 40, F2, 6, 207) (dual of [(40, 6), 4, 208]-NRT-code), using
- repeating each code word 8 times [i] based on linear OOA(226, 5, F2, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5 (see above)
- repeating each code word 8 times [i] based on linear OOA(226, 5, F2, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(2260, 44, F2, 6, 226) (dual of [(44, 6), 4, 227]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2260, 44, F2, 6, 225) (dual of [(44, 6), 4, 226]-NRT-code) | [i] | ||
3 | Linear OOA(2260, 44, F2, 6, 224) (dual of [(44, 6), 4, 225]-NRT-code) | [i] | ||
4 | Linear OOA(2259, 43, F2, 6, 226) | [i] | Truncation for OOAs | |
5 | Linear OOA(2253, 42, F2, 6, 220) | [i] | ||
6 | Linear OOA(2247, 41, F2, 6, 214) | [i] | ||
7 | Linear OOA(2241, 40, F2, 6, 208) | [i] | ||
8 | Linear OOA(2235, 39, F2, 6, 202) | [i] | ||
9 | Linear OOA(2230, 39, F2, 6, 197) (dual of [(39, 6), 4, 198]-NRT-code) | [i] | ||
10 | Linear OOA(2229, 38, F2, 6, 196) | [i] | ||
11 | Linear OOA(2223, 37, F2, 6, 190) | [i] |